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3. The data of the velocity of a body is given as a function of time...

3. The data of the velocity of a body is given as a function of time in the table below.

?(?) 0 15 18

?(?) 22 24 37

a) Determine the value of ?(16) using linear splines.

b) Determine the value of ?(16) using quadratic splines.

c) The distance covered by the rocket from ? = 0 to ? = 16. d) The acceleration of the rocket at ? = 16.

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